{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 离散余弦变换"
   ]
  },
  {
   "attachments": {
    "image-2.png": {
     "image/png": 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"
    },
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"
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m0EISHlLyIri6QRz12dpuXOQUwGKHH354hCCMNaWHPJvQ596f4yYgT90YUpg8JxEVx4SHZByqDo17gKHkLYdVgKP2cdqv4zDYYQKBS8xHsmId0/bbbx8RC86liEJCPo0b5UBhPfvZz44KXLSM9xw6DpA5C9LvkisGjayP4mBUnRxtZ7xGIe2gzKrzkM7CF84lI0BnmYMcI9tIVdswyrPn65pkoPMSd+PLwOhbFzFuDJOxzB1h92P0GGZGnVHwfVIiy9Qvc5OT20bmmn6aq3U0y2ClE0wAb8UFP5ncPHuTDQ6JeEhNhoGCY/FNpEMPPTS+Tp7RqSON0wneehMRzvmMKpqeU3dcJMlA6MtiED7zHkUse+6559B5hL5thp1TYKC/d7/73TNKz/UMJTioanz8RimAHsC8FAP4ARzsOCOYBDS1g5HiVBBSHtQkKZPUxkn4FE1Zf4d4m6Jr+Q9ymAic5h/ZIXMcP/KUEwfC/AXRPvGJTwzPec5z4r/tttsuzifHuuBl40QGyf9iknmoHXWGM8GB2ioHyclWAMWAKSmvI/OWp59X29Wd55gqQEU5cyXyUIXDyDjKx7buOc7jbJCZZz3rWbNki8xR8oy23OBLX/rSWTJcvR8UhDMDvu8iryeSkpgPYmTBtm3EcJvT1TxfuqbWYDFGvC/lqCaBfyZs8u4xjyWvI1gqhaUck6KDwzYZrBRdtQkD5SaiM2G7KLWxblJXr3VfE6jp2ZgGdpEsbjqnes/5/tvggjXwUJ5voShFWmDAKuGRcapzKkTS/oGpVAuhn/3sZ9GL5vBUyZwhVO4Jn5bPKrQhB/ICB4qIA0ix+s7g50QWjQ+++syJg+CfiNb4mUMf+tCH4ho/BpEhVIHWZrQ8sw1hyJ+3kN/NGTqA3ObkbzrHbyAxzrb+irTIbh6J5NcxZvLy+NZF7jkfZAzAu3VGq60dxhiCQR/ssssus4yR8eGwcGwYF1EVRCtF2nXtFuWKPs2rLoKuzRcp9GmyG/kz8EJ/6qjWYPGmDT5rDcPGLLh3YgIryEPByFyZmyg/+clPYkQkLFfhBk+2wr2ONIpxaYtgKFFRnkiji3iYBq+LySaO6NGEboIo9MXkgrvnZIKYGKMQXlmjVafMq/cD1YB4FF2IMOsinOo1o/yNF96bJQQXrqtAyxWmXAMHpOowuM5Y+x3sxADxikAW+FqXpMdTXjJv0rirgCrUzgEyJ4JVIWc+5nObAgCnMzjmpfFTdJBkkuD7Z77ht/yHyNcblsk2GFjxA6eoLsHtWvMiOarVlvLU5cealEv1/FH+FkWKBsip/pqHeTTi2V7lo+xe0RDDBj5kxKQl6vqlHeahSHOcRF9qfw7VkWv9IWNNRNeCfC2ZyZ0HMkhPMM6KZ8idAhfRpYK5NA+q9zWnnDtu4lDVpYaGaUetwXIDk5whsfcXIciZLLEJZsCwXJFKJoLR5Jx43O5h9bOFxITFxM+xWhPevdoMlmtEelWFWddJA9QkXPn5oC+7R4C/mgwW4TCp8wniHvpMQEYhwqTarstgGVjtA9Pxlqpe9SjPrl6jH/ilTJ4ifM1rXhPhIsLBK9d/VZwMEoUpys6NkPwe40ToU384F8r55Vc4OuCLfN54jmNt411t53L/2xzk/JEBOUzwjDGhqKzpsb5NAp7REjFQXK5BDJg5p7qXsuSkkUVznowydqoGm2SrKyfMmClRN1cWirRNm81Bita8yxEbc07ORn9SNAUZ0SaRkYjfPM6N3EK1teu++E3mcieYI8EJgSJVyZhBMBgrRptcckzIrn752xiYC8aYEfJuPkVg5gTemBdNRrv6vIX8W18YZcjdXKjRYFEsQldGCOSTW2sM532ZPM5DGqSSD3NUCBIqWzOpWhKRUGo8hEQYL3LTgTaFzCDO1SqnZ/oUBhtsCpVAiyTryGBT0Hm/nUdoFhLKIqAmndAZVu15cyFRDwOYG2Z/q+AythwIRpHgMJA8b3wRCeo75SfiUv6eQ0f44zzGKSlITgnoyielUt3OijNjbuROzlz6lq5V4p2Mazq2VD4ZHAtTlayrxExLRvTvJS95SZQN53hLNWNmJwjl7iIPxRoUOd6QNzkLitvv/qbsoBfV3FfOO/dugo5UKHreOAhsneZhrvDpEMZJ5GgOI06TOaa/2jgOY5VQCChCEzFKdF0yrM7TTlBt2r4q9cFvdJTqR7qWc5gIDGrMVIaKvN0jVYvSsXQuZ1yVt+MLTeYafaXvjGkdmWvGKTm3dec4xo7gUZORbTRYLuKh2B6Id5MTYwSqwkTeH8WGiT7BQ6lkk2Dwpg2UBG+ufClLytR9xkmUbPJI0zZKVaOkPfDiKta80O002CAWIb1cQ+5JjvJs9yMIxiM3WMaWV8dw7bbbbrGfziUAPGZVSLmTIFo21iC8ZGwYVosY/UvHCIfxpyAlqfPxZsiMOSVbx+9R+ucahlQ0Kh+zVCgvutAnUT4nRvLfGiaOgDHKFTcPm+Kz7o+yohRFzfk5HCBwGdSEgjF25K9tPOSzKRqKpO28heY9w6kqEtSXw57mLaOcK2a8EHUouAAVLiSJmkByYHXRruiOEfHs3FBqJ9lS6FFFbURGrod2QJwQfQrJoWvrKEXKZM9yB4VTvku/uJZ8miO5DNbdZy7HPIdzILI3jwQwUkC+V4vyjBt7ks/HumdDcox1k8FaMTATK+SQXJBwFC5MwVXJjXnjdQatem71b/dXQk2oDPI4ibfIiHorMIjK2qEqc0yuD3/4wxEHTsa3qY28C7wweCZXijac7z4G0TMJu0Fs8mbxhHFhqOT+5ipovDJCALqF5efC09SXpuM8JxWfIu18MXDT+dXj+GArL96j9SbzpfhECRQ52BE8slRIJJHverCY/VI8RSGT1zo9kNpGQfKizRVjYa4nRyad45OCJy8MJrnLYWa/kycyQ57IEgQnzRcOrh1J5Ge65DJ/5iR851hZ7qHcvKpvtI8x40xDper4Ngl9GLUNxhNMKWiB4rQRZ11UKZWUOyEz1zBYic4555zBBRdcMDjttNMGRxxxxOCiiy5KP9V+nnDCCYMjjzxycPnll9f+3nTw5JNPjtddcsklTacs6PErrrhicPDBBw+22Wabwemnn77Bs84777zBPvvsE3mxwY/ZAfc58cQTB7vuuutg4403Huy7777Zr4PBhRdeODjmmGMGW2211WDnnXcerFmzZtbv+R+nnHJKPOe4447LD4/0/Ywzzhjsvffegy233HJw9NFHj3SP6kVnn332YNWqVYNzzz23+lPn3+vWrRsceuihkR+dJw9xwplnnjnYb7/9OufpELcsp1Y4cNhhhw123HHHAZloInpjjz32GGy99daDzTbbbLDtttsO9t9//8HFF1+8wSXGjJxsuummg5122mlw/vnnz5xDj5CnlStXxnscfvjhg8suu2zmd1/MQ7I7yjycdaMx/qEPhxxyyODUU09tfOqll146OOqoowZr164d0CtLhYzpscceOzj++OM7+6Xf7MkOO+wwOOuss2pZMAMJ8npe9KIXRc9G/gKk0+W1CmV5Qbx4cIRQrotENWAJlW+LlXznscFSeehw4rzySvvlYMCgXf13H5GQRPdnPvOZCEuBxBL8hjfWJvEUeA356vScTzwrMA4oQ8jctVYhv5ZHC9qDofPieCigIzCOMfFvPkifwL9yKPIFfaEG7dC/lDSej7a4h4gUTFldnzRf9y/3Wc8BkYzIBsRWhbKcISKSW1PsxItWSHXAAQfEdV6iJwhMrhd42FIFEAxVppAcEB8SWVjrqTIQ/AfSqkYb5iEoUx46z1utb+3k/U/HgAi1tS1qJk90oq3q6J+uSGTyelrfInUN0gvgwBQp15+5Hga1AFpKoQoppmtmDBao6pWvfGVM8GFuW/ifLjYRKeNU/ZKOt30K8SdhopkQErkWHeY7HFOEqghhybmgNfUJ9Cbxy3j7hNXmsJfcjVxUU7KRsbEo2KJAQkj4hyEwjJCbYSAciYwfuLUKuaTfR/k08dyvqkTa7mVe2XE6Tya3nd/3N+X3nI2c1/m1Eu7aOe6dvTl+qvdg+fhF6Up+dwlr3vZJ+s5xIxPyj/lyh9RGYwAKlx8z5zhwjBwnzpyWUqjC4Bwr6QCOjB2888IrUCGF3baUg+xqVx/5TO1crE9tVNhV3aGjrj34x1Dnclx33jQdo0f1vc/8ByszcIxbE79mDBbhZkhGoWEipb6e+SjtGOYaAsOT46WLilK7ME0FnMioD4lsGCqv/5ArklNhAFMuiwdJoOu8U/dnHA0OwZ5PkrPi3aZ+zde9h73fsOf3aScFqvjAGOV8NXZKnFXUqYLcb7/9xmqwKG9KWpGKwgjvCJKQlr8bdwFPHz72OYecWLrAmfJZdTzoDU5D7uBCLERKorKq8uXgiTjwRoGRNWEvfvGLZ1AO2wxR8qn4oKmNCzGvmp41l+P60qR86+7r/GnpW137q8eGyZ1z9jgz9r/EhzqaMVh1Py7lYxhJKHjCYLU0ScAfhKopJK3yBHwnaiTMDD7vWljLS3Af33lNVUFP9+GRSiQX6s8BUSXoCTRUJc4BQ6YgaBRSIGMXANVcoua+xIiCcyh484pHyWiKFrRpWomyxU+VhaKoauVqXWIcLxRNmNvJcUv9N3aKuVauXBmhbJvhWiYCLqOkRF2ip7rChHSP8rk0OWDszZc2Z6XejC1NfszqFYWi4k00JaeWCISHaX2jRgttQRQEGfxDIC3GJLA8TGuP+uC36fnls50DlKHqR4qyCndyOmzeLJpp8tDa776+ik30xiAOQ+aTyIKR8qI97RTBM3x959IwzxvnucqUwf59c6vmPajbGq/kCKb2ugdn0RjhjXEUEUMqyIwy6RwiTNeVz6XNAZG4/LtK5DYHb9kaLMMvr0Sx8PgSgSSUSffJ0xAwOTAGCfFERVMWbDKEjBXm52ua0nPK52gcsKYP7Ad27YOLj/aU0a5SVMNpsZ7N4k3wxlIghQ6iJeuCLFFoIzIhYmKM6jaetfaRsQIh+lTgJW+RNk0mM+DESRvbtj6X3+bOATlS2+/JXTahUZ6yrA0W6IFxogAJIuNFydjRoY/A8Ap54mkHCDCiXBShg9O7r1zGuDxsXrAtfFRiLlUyqUUy1UT+JPTXfJBHk8OSt2K0FMNMO1Eg5rWCIo5YG0EcFMTUbcBKxkDk6a24jJY1VYyc4gvwKaSiOHhtHF6av4GG6UoVgm20rA2WhD0GSSjLXflH2fd9ASRvkdFLZeyiMgIopyWHQniHyYO0DVTXb9pusZ2lCaoGp43k+xQttJE+4rmqw0kibVdc8fSnPz2W2YMF/RM1WCzaFZVMUl+a2gI+hx5YQFwtpEjXyEFYZCxpXpcDBhWmsuV0DUjQxtr4B0q1dVfXcpJ0bflcGhzgBIne+2xFt6wNlsgHbEGIeMfgJkYsrzxrmhKElkICX+SVMAyYqim7Vrgv2GMcJO9G8D1/2ki+g7Ly4simiET0azcAJdPJQZhrP0WknikiSv9EEtYH2fU6HfOpTJsDUkc2lVUlan2RfA8y7vI3qkSbFHy6l77JfTJ8k0oQB84YpwKEVyVzXcER/qUNrvUr34cQfM6ZU5iSiJMHBhKZikqbln+k88vn0uIA2beLjv0y24otUq+XbZUgBhAWHh3PD4ZqDYjoqk/C3oJJis02Sjl86FqLZFVVia6S8CaGN31Sakrc5dNcRwFIUKum6lsxlbej6TmTdpyiEuEytBSanakpvWpfRI3WVoGa+oxPn366D4clhxcJEEjLvFA0kcg51Qo5v5kzyuf9pt0p9+k+Iis5zGpf0j19qlDVZ5WiIMRxReR5G/p+B9VZuiGSN6/TvnBgcXlbBo2zp0+MFQPvN1vymN+WkIjUqpWDcr9yZGSquoi/b9vKedPJAVXanBrv/GvLXaXeLWuDhQmsOsXFWPCIUwFFYlDdJ+XJG1TRJCIAVeVCSCglnUFX1Sqpuvs5RtER2IMOOii+pOKMyZAAAAPxSURBVE0FnDVdhFm5tOfVkYWxooRphVHkMSyspNDspGFtDr5VDT0okMLkoc8XeXb1XW2qRD1LtMTz7yI5TzCYjWZzGEy+h+IWcbUJojaIGq1BkcuZdCIvDBOo0xuMzX8bDkAUvL8tJ/lhSwREstAIUbSiFDzOo2RGHb9t/lod9/x+5fvS4QBnjsMv388J6pvnX/YGi2EA34BueNR9IDUCSLB23333CAeKEnKDxRsXeQ2bPFahCBpSJk/5WZuiPaIsyryODHQOSdadM8nHRB+Utn92oLaImyOQL2IXxZjcPPUUwUxKn0DJHBZjloihYnjBxRyOtgiLMROd6f+0kD6RG06GSIp3bGyqxBDJETPEzqWYyI3oMycOI0gIL/s6ePn15ft0cgByJG+VO3pdPVn2BktkIvFr/z1eXx8PDwbfZEAwnIIaFotnBK3/EZkp2V61alWERwwmKEzFYR0xts6fJoVX1w/H7Auogkxi31qcpLxEMPaq6wsXUYgUJJ4uNBln7Qbf8hoZ1wMPPDDCjHY6B5Ep5FGEITL3Ak+Rs+u8pn4ax42BSXApeekzLhyQ3Ampjov79JG96nXl7+nkgDkEdh+WlnXRRWKWPIbFw7zkvqFpuna+PuG4ynoVbFDU3qtj7zYVNDx2irDuH6WcqtB4u9NMaYsq0ZSKM6R/clxgw7ZIxbmKFiw+VKEpypUbAqdWPfo2HnmGqKfrWekeIEqvmhdl2wfS62pE1qBdZbpIBCV6YER5lfJU5lnfZ6Rnlc/CgeXOgWUfYZkAYAtRk/wVy78YxFjxtnmulJ9kteQ/paac2L82othFYRSjT8Z32vJa+ioCofRFvMbFPo340rbTdeKL87o8+XRu0ydo19KAtFao6bz8eNczjQkjvMsuu0SYUIQFQmvLbeX3L98LBwoH1nOgGKz/L0GWHO8DbSzUxFGo4ZULqaoMhMQLr6tMq2uDqMx+htYzgKGG2XCz7n6LdUyiXrGDBL1qSzBp3RY/C9U+fGuDe0d5btojTWGBaI9DYq6JuIrRGoWj5ZrlyoHFCScmjNsgHO+rWkwMnXGSQ0swkYivr7HCTtcxVCIr1y1WpDjXodUPeTwQ6erVq6NCr3utxVyfM87rrVsCDxpfpfsg3vSpHaDcaYdzx8nP8qzly4FisEKIkcxiwoHLd/rV99xWV14garseUOi0Gl+9Y4hU1HnVC2OseMRcS+u/GC8GDeSpcEOVaKHCgcKBeg6s8B7i+p/K0cKBxeOAnA840BqfaS7bXzwOlicXDiw9DhSDtfTGtPSocKBwoHBgSXKgQIJLclhLpwoHCgcKB5YeB4rBWnpjWnpUOFA4UDiwJDnwf9sUoC39xx/DAAAAAElFTkSuQmCC"
    },
    "image-5.png": {
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"
    },
    "image-6.png": {
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"
    },
    "image-7.png": {
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Uuq7rN0tVe3kPTaR+beeb7hvkuAGMh4SW4PeoiFDhKetfQWqWGYXFArcWTF8i5VNW2lolE8nGvRSpicUK3n777WutKIaQayi1OuVXfXb5H6JBx9tFyVo2v8wrUJjkAwlQjErefJpjhIPtvp7//OdHhMM2XXgvww4MKvGBAUowthGFRsgPY2CoQ05kALkyDKkHYdZlaQkrnmxhuKYxS86AFI13dYACUPaM6GHaNkwbutyj/yjcqsJyvOpx4Kf5ShYzBlavXh3bJkOZYYD/gxgFXeo3l2u0gSHRRsYamNpYraO1FFa6QEPBeRpNeycrxfncC0vXp2/nBFVZL6yhbbfdNiouAo1ArHoGBpMKsribCMMp0DqPrumeUR1PwrU68Ub1/C7PMXClwkrFna83FfOOwAkyuMBMFDXrjSWK9E+dgnENYckLdp5VR1k1ecuuIUiMExbUOPnahffjuoZh8pa3vCUWz/DjAS9btizOq1QnyIePvuIdg9vMpZzEe1ipIFs79puDPmKR3sHmWL/kA/1EQRKO4yRjUD36KRexOXKLp5kb1WBusJrYFo+T4WdNWBvZz1OKfD/iLUIZ6na86Xdv9TwZyZjIZaL5Qtj7VEm7GJrmFVkp7GI8kF3aWscvCnHHHXeMiE31edX/1pJatjIKYgCDL9uI7DCm1bGOahWWRnJHk+DKbzRwCaq6RAnBYBlXJgFICPNZMph/3/veN39M/K0jVKyOqfnFPLAmjZtf57fBY2D3I21DbRYIz4JQ7WLV9StvmPN4I9MJ7m+NyXwRg0T/WFeHz8o1AZI1jEcs1CrpPxOV9cuwwStGSpPCYsQYN57HWgRjFJrNgTzBgbW5Zs2aGFf0W7/kZC5SVvhaDVQzEHx4tMY7ow/U+973vjcqRIrwQx/6UKvSUmZusOZlL+RvY4YcMeaaCJ9kosnGo8xzIijNZztvUGpCHnjXpohlwHUZo/okpdnnZQ7zWz+KteUyUR31g0+VOANgW4oKGoZPYpNkb1NskkNh31ILufvRqNqlHHwnA/oRHjDU6qhWYVE6XDdwmEBtnvevsSyXOgWCUZQL4Qomw2A4KiuvzpJzXse0WdoG6Xve8544seoakB/TSbK9WEVtA9E9KTGgqVNdA1oAGyRYwTET/3Of+1ynjRrzuqXfIIgunhLegGR1Mmt7PoUGXrE24d0GP1hP+myy6AxauHh1glNs+hf0JGFDvEtiwHOf+9zU3LW+CU7GhDGk36tJOGtdXP5EDugD/AdnEbiC0omMDYaEuWW8mLN52rOJ7wM2wm+xSIF4awXFQwltyQ/izVW4SRnuNc/rYgnOUxDSyfvBiqm+w3xTPMYX40l7yQPjp0rGovmirdChNP/NV0LcYn7j9yMf+UiM94n38EDa5pUyF3qM6k/yJk9y4Tk7ziDJ66tt2kXugQFdp8/Aw0IjTckN+JE89Cof5/O/+qe43LDlzCgsneljEHIxxSQoLoIdVi7ICzrCHC6r2EVOGCpziYA3KZBnyRAEQRhQrIFccYEbDKwmi9wzTFhZRjD7LsTDSoO16XqTkBJkQTUpLO2RISjInRMegcEIkGGIwO6nsAxEsIXB+KY3vWmtwTtMmV3uYZQIaEuQ0eY8I1B/s3iqsSdWKyFJUQmkgqBkMVpIbNNeE15/JEoeqzFUqBsHjBeZcRbf7r777vFln3hKSYBwCV3Ghnn1xS9+MWb9JYRB3xBOj3rUo+Lctg5O3+gXfWaMyxqkBOqI59CW5OB+soIinC9SN3WmtMkCRnQO9SmX1W6+yELlRSYvDFxGflE66kl+gQLF82T2ml+ul1g1ytj3XHihzgyE3IjXXnAaBCuPl+MNmNNSDJAxIlPJJ0Yj+eU5o/SShm0bucmZETedC0WFpYNll1A4BjvckgDTiawxg94i4eSmEky8KZVIyoESIMQNiBSsN6kEAikx5wR7c8JQVkAVe8+v8ZtCa1Nq1evb/lMGBrGBwYNKXl71HhMDX/KB4xrWD6t0Pkk2E8VhUs3VItE+A73J2krtIAQNbH3y2te+dqZfnTeBCAtKKDc4eF2UD6VvUoEYbCnFGDBGqvi/jCbX5h5rKn8u38atnRRy5TiX503SveYeeJ33YF2TsQsiRoxK48M1DBu7+5vH4pAMDMkaFBPeGAfgW96J8/6bs+Zk2/zzbIZnHeH3qOIbdc/Pj4HlQaWUSx4rIrTVQXaydsqETIQH1jH6NtfJMOMYZAhN8KJUCt/ynSTH0r2j/iZLyEMeUBssxsigePMwBFgXZA/5SIk36ud55qDEmtSH4EQ8SoqLdzrfhL/alKDnuvKMNR4yD7iN6BSGUp3H7764cNigZEWzpigrisrA9hJC1s1WW20VBVAqiFViEGNKItYWV9yK7uSyswZkoKmkSZdXQuMoMQw1iBaKWIOUH4+AB5m3Ia+Djjchk5LOz83nbwFyQp+yylf0D1umidrlPTMGCWWk7NyKUy4YwhgANSTr1TfFI90+wVQUFi/A/fo1jQPPYCAwXvB9lMLB5PTuMEaScbwufPR9TvhPKB944IHRkmYUihnyHLQX8aJ4XASHN15TXAwPae36yTgG1RNsdmSRUCD79mUve9msuFheNplAIBEk4yTthPQw5vK6EPAEOdnD2GZApQ/hjlfqjz/JYKb4VqxYEa19x9P4na/2KZ/BAZEw/q1p5QUxnnMyp7SFEs3JfPGiQ2scGdKJPNfzyOg0p7RFQgWHY75lq/pK8ODZSwpTN4hanUzlzeqP3NhI7ci/3auvc12Rn1/Sy3s/P9PyG6MtLlZB8NYwQl0DNJZ1MGqLu6Xq0QrAEMFXmVKEAKigShIQ1IugbiOKGpMJCkzOsWf3gUKd17kmFI8tDa7qc3kwMgJBqFz6puuq99X91628JTE9mXu5Z1R3Petb/Mogr+sPFpJ4hcyyZOHXPafumPGCn8YJfs6lXfnzeQkEOQXJCl1XiEDNIdlxtosXIk4pbsuoaSLj2xgx3hmgFF2dIarPyA3ClmJJhkZ6rnkEOuI58TIYjWk8erbxzEPihaxLZL5SxmQip6HKO/xlZHAsQPajmkMLwUP9nWSH+rcRiNP6QQYFZG4WUVjD0OWXX9478MADe8cdd9zAt5977rm9Aw44oHfGGWcMfO+objj22GN7m2yySe/QQw/tXXHFFbMeu//++/eOP/74WcerB0499dTerrvu2lt//fV7W2+9de/888+fueSyyy7rHX300b1tt922t2zZst7BBx/cu/TSS2fO5z/wZPny5b299tqrd8kll+SnBv6tDqtWreptuummvde//vWNZZ511lm9Cy64oHfSSSf1DjvssN6aNWtayzrhhBNiGy666KLW66onTz755DhWlDVKWr16dW+33XbrXXjhhaN8bHlWxgHjaMstt+ydd9552dG1f1588cW9Pffcs7fZZpv1Nthgg97GG2/c23nnnXvGV5XOPvvs3kEHHdTbcMMNe0uXLo1jL7/mxBNP7O200069jTbaqLfHHnvMKvfMM8/smZvnnHNOftvU/z799NN7++2336z25g0zr1euXNk75ZRT8sMT/ZsMPOKII3pHHXVUrZzNK08OH3LIIb3NN9+8d9ppp+WnZn7PJF3M0mR9DvBSYMIWtLJwu8YPQIECoDyzqjfSp8iRnob9s+7E4rQjWXEKUUdWXhUaq6sAb0NMQLqwdrGSQBfIM8VsYOusIinfeTnpeeBVb2WVRcPFTyvw0/m2b5g4y9MzeGjKt7UJ+I2VJtW1zjJWFrjWOUFoVmuTG57Kl1mk/mDLrlYe3Bpsw3MbpRfEIv3JT34ya31Sqmv5Hg0HeDLGl3hJnqGWns5jAneZL+BgiANreu+9945jBcScx2MgDKA5sSYoi7Rx3iR5giABQg7GtfFZHZMSRkCZXtUhuWsYdCfVfVK+eZXCE/hSx+NUT3Cu0Ao5gw+jnE+pjFF/gzjJ2jz21lQGL1JiHnnZlOwztMJSKIgL3mrQdiVClEAHB4yTJAnAeSkskyNXJNYVmWQpkNmvnuIoBhBmWwcCN08uvQkMuwaF5WWkZxK8UoxNds8Avwzi7hvsIEcChRLKSYwjLf7Nj/utfV4JgNS3S3+olwXG3PqudcRD+PuoBYtEEhBmE8QI4sTvUcQBq7xr+68vxJJg+SYqY0AfdOVX27PHcU4ijjHKAMrXh6W6mCvik+JlSbkQODJC8UHSRxXeZMQQTgSupC77GaZ7zUVCTjZZOpbKSt/Gn3olJZeOT+u3uUEmJpnR1g7xdzJ3WtpOXpA1XcY/GFjfU265kZPzY04Ky4MwrgujU6GESJ3gTucX6ludxa4szGUdEi6JZN7wJuo8k3RN+qaseZm2MhLMprAEslPMyMRNgj7dk38TcBSewOkoCY89s5rlmMrQb8OuMWkaTOnZ+fcgYyO/r+03AWq9F0WbW6QGvL3KWPz2sbMh8UIqLArU1keWSzCGGAQC0uJ3/bI029o7znNQCDFVHo3vquEhPilxIVcu0BZekPiiPqmSOA2PXuYbT4vHnsYipIByFMdpo/kYV23lzee5Kk/7ldVFLvV7xkKdzxOv+pWZZKFEoSaFPGeF1a8Sk3yeJShQLCMwKSwKSPo1aK4LuV8WHkva5CSwCFPZOpgODuM55YI1fy6LiXdVqDsH8Nw6QEKxSoQlRcZrHYYIzH322Sf2v0XeXYkStS0ZAc+qZKRQmrJSu8LlXctayOsYJ/jJGJNlWF0DRRHXKWPzyByowv4Qh6SgzA/r9qTf86iUBdaG3DQtVl7ItpeyFpYDZKW+N3+aaKj3YTU9bNqOS7EEWUn9TiR+5UPwdCECCZxm0rKsrT86/PDDI0QH9oBNm4zTZBV1afe4rqEYpAXLIKoKQ1a3mKK+aLLQ+tWbQGVwVBfG97uPgiKgKSlr6NSTl87w6QK39nv+OM9LWU7Qdpd6gKZBO9Y3VddPgq5lr5onEA6xUBm7vFPkPpAfwVVo8XCAgSND0HhoM/AWtcICl8HXKZUEXYAHWXpdA5rWUxCQFBKrUAIGSJEVycVlNXQJOC6eoTm3lkpIAfuBkLrg4nMrbbC77TjB0/aqD5uvgnrXBYIQWOdkKUt17VBd+4x9iEVdfFGcl0Ay96AOlm9QYnbhMAcZj/g4CWGDuraVY/PDATCwhLF+y6QWtcKilCgTmDooCAnmswq7eESsaBMwJTa4xyR1XCyL92VSDgJvqAcFOqiFr+6sYFv4iJutq2RQ82S6JsQsJB8YO4QuT1vcitKSYDDtJMYik1ZWH/i8jUB6oFHJFnUwOGMDsuGZDA4WNaPRfHGvscszLbS4OGCHfXFfYZo2WtQKC4QkTmESJiEPrpAw0cV6J4ysPs+Z7DelJdhufzPKrKu3pqMoKpNdnGYQknpssZ1NMC3UmzaSHZZgoaa6ayOPVtbhJJG66+/tttsuptmDBX1so2SJQRevZJLaU1cXEJ5MNguIwTd1JFvQDhv4wKioEj5RWPlCfbAu6FDi0r777hsh3RRPrt5f/q+bHCB/ee9ipP2SaRa1wqKU0joTLikPhcLot31IGjbgPt5YvrkkKMNaCZNaym6/vbPSs9K3+Jny6wLZ6Zq6b5i/NVd5Xequm8RjYh7iPsuXL2/0SHithJr+AlGNgvS3MnlE6cOTsM7FhsvpmG+p15ZA1BE4y3ZK4GDxHqT/TD7ee5OAT8/SNgYKgT6pZK7I7GNUiDNVSXo7ZSVml6ex29FC+xA4l1Kr7lKxxRZbxHvs7yd1vsCBVe6uu//NfbsNkZltyRaJA4s6SxATTBDQBaiJ5WdyNaWCJ6b5JoQsXBX8z1N6nZNkIWWXp1NnaebPqf4mFFmY4l+sUXBi13VPXbzCannj/g9CkzJN0cq2tF8hpVFtC15aW2Uz02ETKqpt9Rx9nsOLJhBY2ILvHJpyTTVDzvOsg5M+71y+AN1zeFbiNdW25PVgoGizLYdAiINkJubPWYjfxqX9RXnyDLVk2FFKXtch9mS842LcvysAAARjSURBVAmy/pCRIUWdEqK8JTNVg+qgIK+nkS1oH9NCi4cD1isKg9hUoUt6/6JXWAQNL0jciPUoy6yfW0rIUnAmKSHFasytfjAHaxtc2EX5peEpq5DCMmnFQwSjxdikaIuJ1JF1RryEQWDHuueM65i4H+XOAPAaDTAqyK+aXQYKJDAH4We/Nim7+hI7faks/ScA3I8kVljsbeFsvjpfvIcy4nG1TUR14HEwUPT/pBMrmKcF6vT2Yv1md34K1xjMjQmGnHMUttcTWXOl/xgEvLCkyK3V2WabbWLMNynBSedDqd/cOMCYg2RYQsQI6ppJu+gVFmFCYVk/BepgWfcjkxR84x1dhJTYSq6wTFqTmsLp2hHKpKTE0CgpStGKdhmLJjNhXkeeP8jivLpnjPMYoUVo+1jobDNkxkN6p5q6sdgNbhvvThpcpM/0Py84EUVF8TI8rGFKgjmdz7+NP0aT9k8LaROjzDwgePyv84woLHEvqAWeyKBkDPI+q8Twso1T7u1Wryn/1y0OGB/iVrmh16+Fi15hYZCUXfg5aKZuMWqViSxJb3b1aSIeQtVLaLo2HeeRiYvZsd3i1aTsQGXgwToSK5HiPU0Cr64djnkJnSQVgX2wavJ0eTCg0a7wKoFImIpRzTcxdtQb/EV4U672hSR47XQObpbQIwkDrCleYwcI93mT9DT2G4Msh0sZVP2IQmrbdYRhlrJt+z2rnJ9+DhhDXZyDakuLwgohCkJJCwTdoEqmytBh/4ODwIwgRt7aihUrYodSjoRgigtUn08oE5QoBber10zLf0JL+72Mj+KWmaZ9Ylw81jZPRRt5vd6xhncUBgPEMwjKrpCpMng9/cpKPAVxedW85QResKgvQJc2f02Lz3lQPDHnWJXiVOratYxUVvkuHFjsHCgKK4QY8Afp8Ji6CrZRDxwKSdwDbGLPNrtY27bGW3vBYzlEVlc2wc4LIxh9a8+42lJXvy7HCHAeyMqVK+PuB5YIWEjKC8kzz5qe5bouvGq633GGi6UBg1j7/crUJyBN6dugMx4WeLMtttVWx3KucGCxcqAorP+/UdcrDUA74xIilIu3yPIMQIHWpBDgXfFd8BlFZz0DGIq3Mo3klS6SHaS5eyWJbZK8diHBg/PdJnxrihcOWzZvkSKUyMGLF58Eb4ItxzXehm1Lua9wYJwcWNTrsBLjKQhv5RXLGhdRTtJ9U9wK1ASe7AobuY6i4lmBoPJsrXG1aZhytcNaHqmu4ooEet1rLYZ59rjukcwjdRvUKx4pASF9qxMod9rh3HHxtpS7uDhQFFYIUSmAnwj8QuPngJ1GrMuxXY8ss2lVvjhJEcmosxaJMpY8Igs0rf+ivCg0kKfEjUF3OBl/b5UaFA4sHAeWePfwwhVXSioc6MYBMR9w4I477jjVafvdWluuKhwoHOjCgaKwunCpXFM4UDhQOFA4MHYOFEhw7F1QKlA4UDhQOFA40IUDRWF14VK5pnCgcKBwoHBg7Bz4L+vXkj6MuMolAAAAAElFTkSuQmCC"
    },
    "image-8.png": {
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iIwpiet4aJeAJLoLdoWJvfOMbI27EojD8+QJ4p6CtPjWtZXgwDjTRBBOYdypkkUEEf560pFwaIi6IryMwbhNI1Tk+HdqXa7QBCywnMm1hDhaxgEwTKEMT85ltIFQs6mq/Z7MfCNxZJ1wHzOmmyR63T5iNoKg2CFnMG6NlpmN+5o91lMzTvB33aO6YKCbPOlJXWlB5Wb8tWgLRczlg+IJ8tFZlEhjz2muvHRUBrhlH3VZNyOTbRauyfFgmLDy7HXfbbbeINwpIG94oJBSJqoaX+jFb35gXXHb1w/pjhfCxw08CeDQf3Hx87cZFkBhbExCaDuHSdhvAs/0HzPmpAt5h3dMsE2gfA7be2wDDE7zljjLXCeBEgE8dFA+HihHGLD1l62jSMxRU6ZdVmkz1pm8WqLdojSPgUx3pG43jo20AR/iOOWyCWkyZbKfaicAnLSevAALrJBmJyESDKJsdSH3M3OKnAVVBHRDYtrCqz8zmf9obQdRFUDPVJ1q/o11NIiGaXBDT3Z5AHfcYE1v8gSZqkTI3k2Ctm2/uLpoe3xwNmBbv0wQYfN1cW8RcM4i62g5G5hprD8FXiZ5Q4TZwX1/tULPIuIK23HLLuIhZf3V0nPqpX8zULqaZys/kNyZSxUHennviAgTss5/97Am0ycS2/uCTFULzbGPc6kXfrKY0z3lb+W8K3HQpMdZ8HS10MVBj58+n0FAMc+sNj+FaJAQINYqALCDuiZ133rm272iRMsBl2NW2+uoszxxHfX+j4a72tKUcC6sJapk3rZk57EFSLI9aJ4lQJ6lTFPVVr3pVlP4myeK2cAQMqqBzOlmn1aWyCJHLhh+1C9QjcCQq3wVeXkDI5FZF9RkmGDdSznAQHTMc4xoH+PuqLoW6ekwu36k+GH+ukdaVn8o1Jhotl7DGBGkw6T2bBBcc1UW9WVTw+MxnPjNqeuIbXGx8elWw8GgRGG1VGGKacCIQrv08AGf+ffQBvViQOcCTD0sBc0GX3Fh80NwsNCtCULymCYcsrDZ/N4ahDzMF2iY80SOFAY3VARwSsHDAr1tlpoQuF9tLXvKSmLb62c9+NjL4arm8bkqaz2wCQWGMuWCh6HERNOHZ2NEly8LYqzwDz0KLzqXBjAGFgKWHtusYr2uydnxmEwgfNJ7zlbr2jbmJFpSfxLw9wMlvAVhMTGkLgclqgWHeFhItOweN8ONgdjYP6JiFRBpCHq2RDy73H5OWpGd1IvJ6LWwBwz7mmjb6pC9ivBY2326TfxIRWUjVicXELI6+J3/lY/EbE7GFug0wI3jjKnjzm9/cKmDa6ul7DzOlfclVtkkCg03uCfindZg7wjjXTglruJQNAFfSt9AOjZAWiE4SozYmzJ4gz+vQRzTFtSGoZIMLLT4tNmlv+oO56Qe8cA8kKwQNoUV9cE3wkuaFmdPA0cMhhxwS4ypNzLuNuemfwNKQlL++eE/lnGVD8MEXQYq51fWVQgXnrKO8z5gWV6f1hyHChXW1xx57RGaHmRGK1l4Xw0h9mslva8ic52NkARBeeIb5rgLBRBE0Fzm/4BbxH27QIkUiCQWCDh3gW5i73/MBrI0+ClxXXyPztrAEeaQDkgoGKRBD87MYIFZjFp7JFwwRjMwZn+csfj7PxGgteNJP1J1vzb0cBMIwibYghYWunbytvI6hvwknDIGPlV+flp4YRV4XYlfWosiBVmmcGNk4kJhO27O21zuUyuKrs1janq3eI1Qxg1ybrZYxp3BBa+O33n///ZfjxD2MXX8srHzhwCOa4HbRT0LbsxYmnOYZSYQhBoixVkFZygJ6E+zMFQb4JhTUKWXyTW96U6BRClx6jv9TMJUgRiusIho6BoeBoVuZFxhDE2CE+me+65ibOq2RmQL9Nj60gcEShBh5DhQpcQnuR9lACVjHnuVWw6zgwpxgcgTCBz7wgeVHNeSKU3p+ur9puvDftD7g2Pyig5wmad4ELUsz8Y/UN/jnb0eHsocSYILaErQV86A4pkwz80mYqcs9PuuZBmtNu4mW6tpThhJDYHdBl2IbmTeE8k0feuihUatMO5wQgHQbjNniSoQtSCI/W0eSZgWRJCoiSlqBb4KA68VCzgnSs7QImq1OzhawIAQdTCYBhLElSZ33AYIt/Lq+WSwzBTQJfm4+PQx1qoDwzVtdKmNeNyFl8eTzl+5bALQhuEvM26IhfAl517QhbY7LjHbMz5zjDn34T3uuAwoCq0RGjWAc2hB08kn45sqBGylh5g5D5tLjVsII0JQx6Bf6BFw16X5du66ZfzSO4SR6zssmes6vzcRv+OHCoGXmzAYtOt+GoPr6178+oWl9I/RYIxg5pkAICDCy2gg8bhbby9P6nVDBNP2h7FD0zD0hD/9yzasbnzB3cyuBIVea9A1fQa95fIwrhStU3T45GCd6wL8onuIdSZtXN7rFk9AIupgp0D4cS62l4aMj2S7mIud52jdH5irf/l/XL2UIgTorZHn50RhwzTXXjJYtWzY666yzxnj6/4+ce+65o/3222909dVXj13HOA9ecMEFoyuvvHK0//77j9Zbb73R+eefP6ma66+/fnTkkUeOzjzzzEn3ZvLCpZdeOtphhx1Ghx9++Oi6666bclMXXXTRaK+99hpdfPHFrXUZ7+mnnz469thjG9t1X7+UHQrXXnvt6KijjhqdeuqpYz0/tL2h5ffYY4/R1ltvPbrqqquGPjrt5S+55JLR3nvvPfK9GOGcc84ZHXzwwSM8pApXXHFFHPuFF15YvbUo/lsHRxxxxOi0007rHI+1u/7664+OO+64xrJjbY+nnQgMCB6QJEOBVGHiOee4jxthaP1t5blpSGdaLW2LVlMFJrJ7ye9bvZ/+k7jcTTaK0EBpAbS/BLRTPlw+SJaLw4tcqwO+W5YP04/fLtdK6sq3XYNfPnn9YmUwSaug76wOY6VRc2nYPNPULteXupi8nh0CXGfwQjOaSe1vSJ/ysrQy2iKtsC/Al/RVmlYVuAtZrFwDXD7+54BmXve618X7NGpaawIWEFceLbuJVlLZhfbNLcfCZ4XXWTgCt+6xLgSZFxuwqq1NMcAugCs8oc3dNxbz1nBCtCCCRvqCzjOtMIPpcAv0bbdaDpNk3tjoUAVMzUJuNVlCiIyIj40g46tjvuZJ9cxgwVZCAGO0jTt3JaR2MVCbogTepDUl0y/d7/OtDoKUPxRjIAD45rnA6tpkZvIf25xjPiya5BKpa4/rQhogfBlrX9Anzxj7dOTI9m13SDkuBsK6Lac2r48gEgRN7or8nt98y3zwxisALH0vBzQj/kOoykevxlUsbllJ1laT7zivbyH8tu7FU8Su4LsJuPfkZVM+ckWoqfxCuU5J5OqzLttifGk8FCqKbVtgc1K2SXq4zzeNha9yiDZFa5NZ4Lm5hBSAlQYm9SgHmhI/aB8ke06qmfK0UgRq4SYQAVefcy7qtA3alS3fzkeR1WNb9xDg00MY4gqEKI0ladSEStP51AhDoMwY+SbbGHfqD7+y/P2+WpG5Nua5sLBSn/t884nqJxx2+UYJSafCwXmbMIIj68L8m19CPFk1GDIBSKDVKQjmRYYIutKe/wsdjJklUmcF5mODM8IrjT2/t5B/i02I2dTF16rjMue0dApmXdptKj8l5q2SoVoiDS4FoFIn5uIb0xJMIQ0x0Fw7FfCyiOuYbbWvEC1YwYQ+4IADouZLuqZnmdVw1KRtCN7ICMDguVWmA7SNSNqYpowE6ZJDYcj8WYhVrXJoe7NRXh/RAgtBAD0x2bq2MW0BRRqkwGoTsGxokRg8Fwg6SDSAocvUsb27iTHrw1wrOE1jG+c6euzDuNSNbuqE2jjtzpdnhowHP6JU8kzkGTnVsYztNqlWtND+IxDRbYyX9poA4uSMtp1LnMr6piGog7ZNK+Wv83wCv6XRNU0CE5oPlFk5nR/9ko9eoBsDBLmt1qwmc9AEXCuyCKQhtm3qIdBtKOEakTWEWUvbS24AriT00JVx0NSPcn1xY4D7LmXdNAl3GFiyzNvgSTaLNd+AYaExeftqjDQsmjXTm0+Y1vuVr3xlea6nDRQp93Rxk9zCHh3mTYhLaawDLiDuEoK4a7MHGjLvfLdcYVxXmH6q28Jk+fR1y9X1p1xbvBhAO2ijS4Fc0sxbHigNiuskZVBYYPxyfXJ7PcO8kbusvPxU/jrmtAwCEWMbLpr8zouX/BbeyLjJ0IONHXXAvYU2ZIKw2tqAi4QFh8n7yGlmXaXApboszK562too9xYnBlhnaUNjl9tsSTNvCfQYr/SlZC7zaXalCCaysUAx/rQBRn2Cn1wltrbTygmCITvbJObTAFN/Ult9vvWHFeG7wDAM8Mdisrb356l7auHm4A6zq7OPUMeoBZtYZCwxFpmAsJgGd5b6urSqYb0vpRcLBmjdhLxgdoqbNY1tSTNvpomdbLJE5PkCmjKTtg/wTVmMKUOBJkUzw6yZyYJSMmv6Bmr4SvXl7W9/e8y97tOHVAbDt4VdqmH13JlUpny3Y8D2azRB8ObAXYIhO1vcLlAfKZnca14q4EjRlGbIGuPv5l5JmjWNXoCTRiUt0/Uu10vefvm9dDCAb9gz4ljfLljSzFuGCQ2Its0kZrLI+ui7sGjd6sjNG1q7DTlcJxY7N0paxJ2TseKKkQl0boutqYj7h381D77WFCuXWjAgk8amGof359o3DRptOF8kfQSpXcOoffwG/N1oKFljrgk6eb2XFE6CGc2ps0DBQI4BFrtMN28Bast4Ss9MOVUwVbRQv6WIWXCQJp3HIuzKRTVWeavMG9pabkpbqEweJ+RhBn1dMOqkefOHOkFPihnNzndbxDnhXRmfvoIiPVe+J2JABoisIYLXm3xo4oSxTw52zsrmkW5Jy06Q8u2r+bmC1s4tYY1h7GWeEsbKNwxQFlhwXlfX1/Jf8sxb7q2Fxl1Bg7azrc+WfX5LB+U40awqJZ1iJyGfuWzx9wW+av53B4LZXWcjBzeMIBrhUgeER58gWt2z5dpkDPAzYtR2nnKNpNMLJ5ecfIXFJNOIvzsX6EqiLcckcM8RzgUKBhIGWGQOW5PxVHfqZipX/V7yzBtztdicv2GB9XFzMIu9HVw2iS3o3Cx5zq46md9JG64ivek/X7VcYpo/geBNMMxru61SNkz12bZ842rZ8r8fBuCem0OQEu7r/I/wTpNOgh7j9sIQx/nK4ebbdiRCHnTi96Zx99nN2q+npdRCx4B1zRWHBznKYgis4MiqIQ8strJcFe95z3tigJG27I3lVZN3tsZswXsPo63RXiTAChgCDvtyDKjt2G1nIgyps5QtGCgYmJ8YWPKaNy3LTktb26XZzZVWxIfulEamNReJA+QFLrhSnHsin7wOuFhsza+6burKlmsFAwUDiwcDS555m0omi2CloFJ+xslsTrNDpfi7ad42eQiIMdcFw1gDKZuh2idBUYybAYXRsySaylafLf8LBgoGFi4GCvMOIWaESN8SaOyT2TET043xOhRJH7hNMGAM2Tb9Pn2SZyxHXR0yHrhNcn/rTPS51FkwUDAwdxhY8j5vqBdsWrZsWUwRG+pnnrupKy0XDBQMLGUMFOa9lGe/jL1goGBgwWJgSe+wXLCzVjpeMFAwsOQxUJj3kieBgoCCgYKBhYiB/wF9/xtwl0BDdgAAAABJRU5ErkJggg=="
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "离散余弦变换(DCT)与离散傅里叶变换(DFT)密切相关。DFT实际上是计算序列DCT的一个步骤。然而，DCT比DFT具有更好的能量压缩能力，其中只有几个变换系数代表了序列中能量的大部分。DCT的这一特性使得它在数据通信和信号编码等应用中非常有用。\n",
    "DCT变体\n",
    "DCT有四个标准变体。对于长度为N的信号x，对于  (KroneckerDelta)，转换由以下方法定义：\n",
    "DCT-1:\n",
    "![image.png](attachment:image.png)    \n",
    "DCT-2\n",
    "![image-2.png](attachment:image-2.png)\n",
    "DCT-3:\n",
    "![image-3.png](attachment:image-3.png)\n",
    "DCT-4: \n",
    "![image-4.png](attachment:image-4.png)\n",
    "信号处理工具箱函数DCT计算输入阵列的酉DCT。\n",
    "逆DCT变体\n",
    "DCT的所有变体都是幺正(或者，相当于，正交)：要找到他们的逆词，切换k和n在每个定义中。DCT-1和DCT-4是各自的逆。DCT-2和DCT-3是相互对立的：\n",
    "逆DCT-1:\n",
    "![image-5.png](attachment:image-5.png)\n",
    "逆DCT-2:\n",
    "![image-6.png](attachment:image-6.png)\n",
    "逆DCT-3:\n",
    "![image-7.png](attachment:image-7.png)\n",
    "逆DCT-4:\n",
    "![image-8.png](attachment:image-8.png)\n",
    "函数idct计算输入序列的逆DCT，从完整或部分DCT系数集重构信号。\n",
    "基于DCT的信号重构\n",
    "由于DCT的能量压缩特性，您可以从其DCT系数的一小部分重构一个信号。例如，产生一个25赫兹正弦序列采样在1000赫兹。计算此序列的DCT并仅使用值大于0.1的分量重构信号。确定原始1000中有多少系数满足要求，并且绘制原始序列和重建序列。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "64\n",
      "1.9436943115701537\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from scipy.fftpack import dct,idct\n",
    "import matplotlib.pyplot as plt\n",
    "t=np.arange(0,1.001,1/1000)\n",
    "x=np.sin(2*np.pi*25*t)\n",
    "y=dct(x,norm='ortho')\n",
    "y2=np.argwhere(abs(y)<0.1)\n",
    "y2=y2.reshape(len(y2))\n",
    "y[y2]=np.zeros(np.size(y2))\n",
    "z=idct(y,norm='ortho')\n",
    "howmany=len(np.argwhere(y))\n",
    "print(howmany)\n",
    "print(np.linalg.norm(x-z)/np.linalg.norm(x)*100)\n",
    "plt.subplot(211)\n",
    "plt.title('Original Signal')\n",
    "plt.plot(t,x)\n",
    "plt.subplot(212)\n",
    "plt.plot(t,z)\n",
    "plt.title('Reconstructed Signal')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
